4(y-2)=3(3y+9)

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Solution for 4(y-2)=3(3y+9) equation:


Simplifying
4(y + -2) = 3(3y + 9)

Reorder the terms:
4(-2 + y) = 3(3y + 9)
(-2 * 4 + y * 4) = 3(3y + 9)
(-8 + 4y) = 3(3y + 9)

Reorder the terms:
-8 + 4y = 3(9 + 3y)
-8 + 4y = (9 * 3 + 3y * 3)
-8 + 4y = (27 + 9y)

Solving
-8 + 4y = 27 + 9y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-9y' to each side of the equation.
-8 + 4y + -9y = 27 + 9y + -9y

Combine like terms: 4y + -9y = -5y
-8 + -5y = 27 + 9y + -9y

Combine like terms: 9y + -9y = 0
-8 + -5y = 27 + 0
-8 + -5y = 27

Add '8' to each side of the equation.
-8 + 8 + -5y = 27 + 8

Combine like terms: -8 + 8 = 0
0 + -5y = 27 + 8
-5y = 27 + 8

Combine like terms: 27 + 8 = 35
-5y = 35

Divide each side by '-5'.
y = -7

Simplifying
y = -7

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